Home / 1,970.92-2,971.33-1,865.08

Finding the Fourth Proportional to 1,970.92, 2,971.33 and 1,865.08

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Solution

The fourth proportional to 1,970.92, 2,971.33 and 1,865.08 is: 2,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.92 : 2,971.33 = 1,865.08 : x
  2. Step 2: Convert to fraction form
    1,970.92/2,971.33 = 1,865.08/x
  3. Step 3: Cross multiply
    1,970.92x = 2,971.33 × 1,865.08
  4. Step 4: Simplify right side
    1,970.92x = 5,541,768.16
  5. Step 5: Solve for x
    x = 5,541,768.16/1,970.92
  6. Step 6: Final answer
    x = 2,811.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.